中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60201-060201.doi: 10.1088/1674-1056/ad39d7

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Multi-soliton solutions, breather-like and bound-state solitons for complex modified Korteweg-de Vries equation in optical fibers

Zhong-Zhou Lan(兰中周)†   

  1. School of Computer Information Management, Inner Mongolia University of Finance and Economics, Hohhot 010070, China
  • 收稿日期:2024-03-16 修回日期:2024-03-28 接受日期:2024-04-03 出版日期:2024-06-18 发布日期:2024-06-18
  • 通讯作者: Zhong-Zhou Lan E-mail:zhongzhou-lan@buaa.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 12161061), the Fundamental Research Funds for the Inner Mongolia University of Finance and Economics (Grant No. NCYWT23036), the Young Innovative and Entrepreneurial Talents of the Inner Mongolia Grassland Talents Project in 2022, Autonomous Region “Five Major Tasks” Research Special Project for the Inner Mongolia University of Finance and Economics in 2024 (Grant No. NCXWD2422), High Quality Research Achievement Cultivation Fund for the Inner Mongolia University of Finance and Economics in 2024 (Grant No. GZCG2426), and the Talent Development Fund of Inner Mongolia Autonomous Region, China.

Multi-soliton solutions, breather-like and bound-state solitons for complex modified Korteweg-de Vries equation in optical fibers

Zhong-Zhou Lan(兰中周)†   

  1. School of Computer Information Management, Inner Mongolia University of Finance and Economics, Hohhot 010070, China
  • Received:2024-03-16 Revised:2024-03-28 Accepted:2024-04-03 Online:2024-06-18 Published:2024-06-18
  • Contact: Zhong-Zhou Lan E-mail:zhongzhou-lan@buaa.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 12161061), the Fundamental Research Funds for the Inner Mongolia University of Finance and Economics (Grant No. NCYWT23036), the Young Innovative and Entrepreneurial Talents of the Inner Mongolia Grassland Talents Project in 2022, Autonomous Region “Five Major Tasks” Research Special Project for the Inner Mongolia University of Finance and Economics in 2024 (Grant No. NCXWD2422), High Quality Research Achievement Cultivation Fund for the Inner Mongolia University of Finance and Economics in 2024 (Grant No. GZCG2426), and the Talent Development Fund of Inner Mongolia Autonomous Region, China.

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摘要： Under investigation in this paper is a complex modified Korteweg-de Vries (KdV) equation, which describes the propagation of short pulses in optical fibers. Bilinear forms and multi-soliton solutions are obtained through the Hirota method and symbolic computation. Breather-like and bound-state solitons are constructed in which the signs of the imaginary parts of the complex wave numbers and the initial separations of the two parallel solitons are important factors for the interaction patterns. The periodic structures and position-induced phase shift of some solutions are introduced.

关键词: complex modified KdV equation, multi-soliton solutions, breather-like, bound-state

Abstract: Under investigation in this paper is a complex modified Korteweg-de Vries (KdV) equation, which describes the propagation of short pulses in optical fibers. Bilinear forms and multi-soliton solutions are obtained through the Hirota method and symbolic computation. Breather-like and bound-state solitons are constructed in which the signs of the imaginary parts of the complex wave numbers and the initial separations of the two parallel solitons are important factors for the interaction patterns. The periodic structures and position-induced phase shift of some solutions are introduced.

Key words: complex modified KdV equation, multi-soliton solutions, breather-like, bound-state

中图分类号:  (Integrable systems)

  • 02.30.Ik
02.30.Jr (Partial differential equations) 05.45.Yv (Solitons) 04.20.Jb (Exact solutions)